scholarly journals A unified weighted minimum norm solution for the reference inverse problem in EEG

2019 ◽  
Vol 115 ◽  
pp. 103510 ◽  
Author(s):  
Ricardo A. Salido-Ruiz ◽  
Radu Ranta ◽  
Gundars Korats ◽  
Steven Le Cam ◽  
Laurent Koessler ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Minimum Norm ◽  
Minimum Norm Solution

Failure recovery for wrench capability of wire-actuated parallel manipulators

Robotica ◽  
2011 ◽  
Vol 30 (6) ◽  
pp. 941-950 ◽  
Author(s):  
Leila Notash
Keyword(s):  
Failure Modes ◽  
Parallel Manipulators ◽  
Failure Recovery ◽  
Partial Recovery ◽  
Minimum Norm ◽  
Minimum Norm Solution ◽  
Actuator Failures ◽  
Force Moment ◽  
Hybrid Actuation

SUMMARYWire-actuated parallel manipulators and their failures are studied in this paper taking into consideration their failure modes. A methodology for investigating the effect of wire/actuator failures on the force/moment capability of manipulators is presented, and the criteria for full and partial recovery from these failures are established. The methodology is also applicable for the cases that the minimum norm solution for the vector of wire tensions gives a negative value for tension by treating the corresponding wire as failed. The proposed criteria are also valid for the manipulators that utilize hybrid actuation of wires and joints. Three planar wire-actuated parallel manipulators are used as the case study to illustrate the proposed methodology and criteria.

scholarly journals A Regularized Gradient Projection Method for the Minimization Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Yonghong Yao ◽  
Shin Min Kang ◽  
Wu Jigang ◽  
Pei-Xia Yang
Keyword(s):  
Projection Method ◽  
Minimization Problem ◽  
Gradient Projection ◽  
Projection Algorithm ◽  
Gradient Projection Method ◽  
Minimum Norm ◽  
Minimum Norm Solution ◽  
Gradient Projection Algorithm

We investigate the following regularized gradient projection algorithmxn+1=Pc(I−γn(∇f+αnI))xn,n≥0. Under some different control conditions, we prove that this gradient projection algorithm strongly converges to the minimum norm solution of the minimization problemminx∈Cf(x).

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